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Finding the Third Proportional to 227,488.50 and 495,451.69

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Solution

The third proportional to 227,488.50 and 495,451.69 is: 1,079,053.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,488.50 : 495,451.69 = 495,451.69 : x
  2. Step 2: Convert to fraction form
    227,488.50/495,451.69 = 495,451.69/x
  3. Step 3: Cross multiply
    227,488.50x = 495,451.69 × 495,451.69
  4. Step 4: Simplify right side
    227,488.50x = 245,472,374,646.60
  5. Step 5: Solve for x
    x = 245,472,374,646.60/227,488.50
  6. Step 6: Final answer
    x = 1,079,053.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.